Suppose that f(x + h) – f(x) -2h(x + 3) – h? h(x + h + 3)²(x + 3)² Find the slope m of the tangent line at x = 2. h m =

Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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Q: f(x + h) – f(x) -2h(x + 3) – h? h(x +h + 3)2(x + 3)2 se that . Find the slope m of the tangent lir h

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Find all values of x for which the tangent line of f(x) x2 + 18x + 96 is horizontal.

A: fx=x2+18x+96 Differentiating with respect to x, we get f'x=ddxx2+18x+96=12x2+18x+96·dx2+18x+96dx…

Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

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Q: Find the equation of the tangent line to the graph of f(x) = √√x + 144 at the point (0, 12). Answer…

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